Convert to radians.
270°27′25″ 275°18′35″
Convert to revolutions
135°27′42″ 4.772 rad
Convert to degrees, minutes, and seconds
0.449 75 rev 128.259°
Answers
Answer:
Degrees to Radians Conversion
Convert degrees to radians.
Degrees to Radians
Degrees
1
° Convert to Radians
1° = 0.01745329 rad
1° = 0.00555556 π rad
Degrees to Radians common values.
90° = (1/2) π rad
90° = 1.57079633 rad
180° = π rad
180° = 3.14159265 rad
360° = 2 π rad
360° = 6.28318531 rad
You can convert degrees to radians and calculate radians in two types. First radian value is the approximately calculated with pi (π) and the second radian value is the exact radian value in terms of pi (π).
Step-by-step explanation:
How to Calculate Radians to Degrees
For performing some math calculations, sometimes we need to know the mathematical value of radian. That's why we have to identify the math expression of a radian as a degree. One revolution is 360°, and it is also called a turn. The angles are calculated between 0° and 360°. We need the circumference of a circle which is equal to 2 × π × r. where r is the radius of the circle. Now we need to slice the circle so that we can identify the radians. We divide it in 360 pieces, just like an analog clock. Let's calculate radians to degrees by using math.
circumference of a circle = 2 × π × r
by definition of radian
(2 × π × r / r) ⋅ rad
= 2 × π × ⋅ rad
One revolution = 360°
360° = 2 × π ⋅ rad
1 ⋅ ° = π ⋅ rad / 180
degrees = radians × π / 180
radians = degrees × 180 / π
where the π = 3.14159
radians = degrees × 180 / 3.14159;
radians = 57.2958°
Radians to Degrees Values
Radians Degrees
π⁄12 rad 15°
π⁄6 rad 30°
π⁄5 rad 36°
π⁄4 rad 45°
π⁄3 rad 60°
π⁄2 rad 90°
π rad 180°
2 π rad 360°
Radians to Degrees
Radians to Degrees Conversion Table
This is our extended radians to degrees chart. You can use it to instantly found the value you need, instead of using the above online radians to degrees calculator.
Radian values with fractions.
Radians Degrees
2 π rad 360°
π rad 180°
π⁄2 rad 90°
π⁄3 rad 60°
π⁄4 rad 45°
π⁄5 rad 36°
π⁄6 rad 30°
π⁄9 rad 20°
π⁄10 rad 18°
π⁄12 rad 15°
π⁄15 rad 12°
π⁄18 rad 10°
π⁄30 rad 6°
π⁄36 rad 5°
π⁄60 rad 3°
π⁄90 rad 2°
Radian values with decimals.
Radians Degrees
0.1 π rad 18°
0.2 π rad 36°
0.3 π rad 54°
0.4 π rad 72°
0.5 π rad 90°
0.6 π rad 108°
0.7 π rad 126°
0.8 π rad 144°
0.9 π rad 162°
1 π rad 180°
1.1 π rad 198°
1.2 π rad 216°
1.3 π rad 234°
1.4 π rad 252°
1.5 π rad 270°
1.6 π rad 288°
1.7 π rad 306°
1.8 π rad 324°
1.9 π rad 342°
2 π rad 360°
Radian values without pi (π).
Radians Degrees
0.1 rad 5.72958°
0.2 rad 11.45916°
0.3 rad 17.18874°
0.4 rad 22.91832°
0.5 rad 28.6479°
0.6 rad 34.37748°
0.7 rad 40.10706°
0.8 rad 45.83664°
0.9 rad 51.56622°
1 rad 57.2958°
1.1 rad 63.02538°
1.2 rad 68.75496°
1.3 rad 74.48454°
1.4 rad 80.21412°
1.5 rad 85.9437°
1.6 rad 91.67328°
1.7 rad 97.40286°
1.8 rad 103.13244°
1.9 rad 108.86202°
2 rad 114.5916°
Radian to degree two decimals in terms of pi.
Radians Degrees
0.01 π rad 1.8°
0.02 π rad 3.6°
0.03 π rad 5.4°
0.04 π rad 7.2°
0.05 π rad 9°
0.06 π rad 10.8°
0.07 π rad 12.6°
0.08 π rad 14.4°
0.09 π rad 16.2°
0.1 π rad 18°
0.11 π rad 19.8°
0.12 π rad 21.6°
0.13 π rad 23.4°
0.14 π rad 25.2°
0.15 π rad 27°
0.16 π rad 28.8°
0.17 π rad 30.6°
0.18 π rad 32.4°
0.19 π rad 34.2°
0.2 π rad 36°
0.21 π rad 37.8°
0.22 π rad 39.6°
0.23 π rad 41.4°
0.24 π rad 43.2°
0.25 π rad 45°
0.26 π rad 46.8°
0.27 π rad 48.6°
0.28 π rad 50.4°
0.29 π rad 52.2°
0.3 π rad 54°
0.31 π rad 55.8°
0.32 π rad 57.6°
0.33 π rad 59.4°
0.34 π rad 61.2°
0.35 π rad 63°
0.36 π rad 64.8°
0.37 π rad 66.6°
0.38 π rad 68.4°
0.39 π rad 70.2°
0.4 π rad 72°
0.41 π rad 73.8°
0.42 π rad 75.6°
0.43 π rad 77.4°
0.44 π rad 79.2°
0.45 π rad 81°
0.46 π rad 82.8°
0.47 π rad 84.6°
0.48 π rad 86.4°
0.49 π rad 88.2°
0.5 π rad 90°
0.51 π rad 91.8°
0.52 π rad 93.6°
0.53 π rad 95.4°
0.54 π rad 97.2°
0.55 π rad 99°
0.56 π rad 100.8°
0.57 π rad 102.6°
0.58 π rad 104.4°
0.59 π rad 106.2°
0.6 π rad 108°
0.61 π rad 109.8°
0.62 π rad 111.6°
0.63 π rad 113.4°
0.64 π rad 115.2°
0.65 π rad 117°
0.66 π rad 118.8°
0.67 π rad 120.6°
0.68 π rad 122.4°
0.69 π rad 124.2°
0.7 π rad 126°
0.71 π rad 127.8°
0.72 π rad 129.6°
0.73 π rad 131.4°
0.74 π rad 133.2°
0.75 π rad 135°
0.76 π rad 136.8°
0.77 π rad 138.6°
0.78 π rad 140.4°
0.79 π rad 142.2°
0.8 π rad 144°
0.81 π rad 145.8°
0.82 π rad 147.6°
0.83 π rad 149.4°
0.84 π rad 151.2°
0.85 π rad 153°
0.86 π rad 154.8°
0.87 π rad 156.6°
0.88 π rad 158.4°
0.89 π rad 160.2°
0.9 π rad 162°
0.91 π rad 163.8°
0.92 π rad 165.6°
0.93 π rad 167.4°
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